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134205747502431 = 3112459180529907
BaseRepresentation
bin11110100000111100110101…
…111010000001110101011111
3122121011221111021221001022210
4132200330311322001311133
5120042311332330034211
61153233134055011503
740161021350503503
oct3640746572016537
9577157437831283
10134205747502431
1139842379801700
1213075b81369b93
1359b67173603a7
14251d842a62303
15107aeed3869a6
hex7a0f35e81d5f

134205747502431 has 24 divisors (see below), whose sum is σ = 196730055569152. Its totient is φ = 81319099078800.

The previous prime is 134205747502423. The next prime is 134205747502459.

134205747502431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134205747502431 - 23 = 134205747502423 is a prime.

It is a super-2 number, since 2×1342057475024312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134205747102431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38598421 + ... + 41931486.

Almost surely, 2134205747502431 is an apocalyptic number.

134205747502431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134205747502431 is a deficient number, since it is larger than the sum of its proper divisors (62524308066721).

134205747502431 is a wasteful number, since it uses less digits than its factorization.

134205747502431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80534523 (or 80534512 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 134205747502431 in words is "one hundred thirty-four trillion, two hundred five billion, seven hundred forty-seven million, five hundred two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 4591 13773 50501 151503 555511 1666533 80529907 241589721 885828977 2657486931 9744118747 29232356241 369712803037 1109138409111 4066840833407 12200522500221 44735249167477 134205747502431